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Finding the Fourth Proportional to 160.39, 240.06 and 99.24

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Solution

The fourth proportional to 160.39, 240.06 and 99.24 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.39 : 240.06 = 99.24 : x
  2. Step 2: Convert to fraction form
    160.39/240.06 = 99.24/x
  3. Step 3: Cross multiply
    160.39x = 240.06 × 99.24
  4. Step 4: Simplify right side
    160.39x = 23,823.55
  5. Step 5: Solve for x
    x = 23,823.55/160.39
  6. Step 6: Final answer
    x = 148.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.